Nonanalyticities of thermodynamic functions in finite noninteracting Bose gases within an exact microcanonical ensemble

2011 ◽  
Vol 83 (6) ◽  
Author(s):  
Hui-yi Tang ◽  
Yong-li Ma
Keyword(s):  
Thermodynamic Functions ◽  
Microcanonical Ensemble ◽  
Bose Gases

Chemical potential, Gibbs–Duhem equation and quantum gases

2017 ◽  
Vol 31 (13) ◽  
pp. 1750104
Author(s):  
M. Howard Lee
Keyword(s):  
Low Temperature ◽  
Thermodynamic Functions ◽  
Chemical Potential ◽  
Quantum Gases ◽  
Temperature Behavior ◽  
Bose Gases ◽  
Duhem Equation ◽  
Temperature Form ◽  
Specific Temperature ◽  
The Ideal

Thermodynamic relations like the Gibbs–Duhem are valid from the lowest to the highest temperatures. But they cannot by themselves provide any specific temperature behavior of thermodynamic functions like the chemical potential. In this work, we show that if some general conditions are attached to the Gibbs–Duhem equation, it is possible to obtain the low temperature form of the chemical potential for the ideal Fermi and Bose gases very directly.

Microcanonical condensate fluctuations in one-dimensional weakly-interacting Bose gases

2020 ◽  
Vol 34 (35) ◽  
pp. 2050410
Author(s):  
Ji-Xuan Hou
Keyword(s):  
Number Theory ◽  
Low Temperature ◽  
Ground State ◽  
Particle Number ◽  
Microcanonical Ensemble ◽  
Bose Gases ◽  
New Approach ◽  
One Dimensional ◽  
Weakly Interacting ◽  
Counting Statistics

Weakly interacting Bose gases confined in a one-dimensional harmonic trap are studied using microcanonical ensemble approaches. Combining number theory methods, I present a new approach to calculate the particle number counting statistics of the ground state occupation. The results show that the repulsive interatomic interactions increase the ground state fraction and suppresses the fluctuation of ground state at low temperature.

scholarly journals Condensate Fluctuations in Trapped Bose Gases: Canonical vs. Microcanonical Ensemble

1998 ◽  
Vol 270 (1) ◽  
pp. 198-230 ◽  
Author(s):  
Martin Holthaus ◽  
Eva Kalinowski ◽  
Klaus Kirsten
Keyword(s):  
Microcanonical Ensemble ◽  
Bose Gases

Experimental and Theoretical (ab initio and DFT) Analysis of UV-Vis Spectra, Thermodynamic Functions and Non-linear Optical Properties of 2-Chloro-3,4-Dimethoxybenzaldehyde

2015 ◽  
Vol 8 (2) ◽  
pp. 2122-2134
Author(s):  
Sarvendra Kumar ◽  
Rajesh Kumar ◽  
Jayant Teotia ◽  
M. K. Yadav
Keyword(s):  
Thermodynamic Functions ◽  
Title Compound ◽  
Density Functional ◽  
Structural Characteristics ◽  
Basis Sets ◽  
Ultraviolet Absorption Spectrum ◽  
Non Linear ◽  
Different Temperatures ◽  
Linear Optical Properties ◽  
Linear Optical

In the present work, UV- Visible spectra of 2-Chloro-3,4-Dimethoxybenzaldehyde (2,3,4-CDMB) compound  have been carried out experimentally and theoretically. The ultraviolet absorption spectrum of title compound in three solvents (Acetone, Diethyl Ether, CCl4) of different polarity were examined in the range of 200–500 nm. The structure of the molecule was optimized and the structural characteristics were determined by HF and DFT (B3LYP) methods with 6-31+G(d,p) and 6-311++G(d,p) as basis sets. The excitation energy, wavelength corresponds to absorption maxima () and oscillator strength (f) are calculated by Time-Dependent Density Functional Theory (TD-DFT) using B3LYP/6-31+G(d,p) and B3LYP/6-311++G(d,p) as basis sets. The electric dipole moment (μ), polarizability (α) and the first hyperpolarizability (β ) have been computed to evaluate the non-linear optical (NLO) response of the investigated compound by HF and DFT (B3LYP) with already mentioned basis sets. Thermodynamic functions of the title compound at different temperatures were also calculated.

Thermodynamic functions of the reactions of anodic oxidation of niobium and tantalum

2019 ◽  
pp. 36-41
Author(s):  
A.S. Kamysheva ◽  
◽  
A.I. Koroleva ◽  
L.P. Mileshko ◽  
◽  
...  
Keyword(s):  
Anodic Oxidation ◽  
Thermodynamic Functions
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